State true or false: If `|veca|=|vecb|`, then necessarily it implies `veca=+-vecb`.

Explanation

To determine whether the statement "If |veca| = |vecb|, then necessarily it implies veca = ±vecb" is true or false, we can follow these steps:

### Step 1: Understand the Magnitude of Vectors
The magnitude of a vector veca, denoted |veca|, is defined as:
\[ |veca| = \sqrt{A_1^2 + A_2^2 + A_3^2} \]
where \( A_1, A_2, A_3 \) are the components of the vector veca.

### Step 2: Set Up the Given Condition
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